Search a number
-
+
1063280640 = 2133517509
BaseRepresentation
bin111111011000000…
…110000000000000
32202002202020211110
4333120012000000
54134144440030
6253301443320
735230510362
oct7730060000
92662666743
101063280640
114a6215534
12258110540
1313c395456
14a1300d32
15635311b0
hex3f606000

1063280640 has 224 divisors, whose sum is σ = 3609502560. Its totient is φ = 266338304.

The previous prime is 1063280599. The next prime is 1063280653. The reversal of 1063280640 is 460823601.

It is a super-2 number, since 2×10632806402 = 2261131438797619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1063280598 and 1063280607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088706 + ... + 2089214.

Almost surely, 21063280640 is an apocalyptic number.

1063280640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804751280).

1063280640 is an abundant number, since it is smaller than the sum of its proper divisors (2546221920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1063280640 is an equidigital number, since it uses as much as digits as its factorization.

1063280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1063280640 is about 32607.9842983279. The cubic root of 1063280640 is about 1020.6636204370.

The spelling of 1063280640 in words is "one billion, sixty-three million, two hundred eighty thousand, six hundred forty".